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Simplifying 2(3x + 6) = 3(4x + -2) Reorder the terms: 2(6 + 3x) = 3(4x + -2) (6 * 2 + 3x * 2) = 3(4x + -2) (12 + 6x) = 3(4x + -2) Reorder the terms: 12 + 6x = 3(-2 + 4x) 12 + 6x = (-2 * 3 + 4x * 3) 12 + 6x = (-6 + 12x) Solving 12 + 6x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 6x + -12x = -6 + 12x + -12x Combine like terms: 6x + -12x = -6x 12 + -6x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -6x = -6 + 0 12 + -6x = -6 Add '-12' to each side of the equation. 12 + -12 + -6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -6 + -12 -6x = -6 + -12 Combine like terms: -6 + -12 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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